Truncation errors of the D3Q19 lattice model for the lattice Boltzmann method

Detalhes bibliográficos
Autor(a) principal: Bauer, Martin
Data de Publicação: 2020
Outros Autores: Silva, Goncalo, Rüde, Ulrich
Tipo de documento: Artigo
Idioma: por
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/32713
https://doi.org/10.1016/j.jcp.2019.109111
Resumo: We comment on the truncation error analysis and numerical artifacts of the D3Q19 lattice Boltzmann model reported in Silva et al. [3]. We present corrections for specific spatial truncation error terms in the momentum conservation equations. By introducing an improved discrete equilibrium for the D3Q19 stencil, we show that the reported spurious currents in a square channel duct flow are caused by the form of the discrete equilibrium and are not due to the structure and isotropy properties of the D3Q19 velocity set itself. Numerical experiments on a square channel and a more complex nozzle geometry confirm these results.
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spelling Truncation errors of the D3Q19 lattice model for the lattice Boltzmann methodlattice Boltzmann methodNumerical analysisRotational InvarianceNozzle GeometryWe comment on the truncation error analysis and numerical artifacts of the D3Q19 lattice Boltzmann model reported in Silva et al. [3]. We present corrections for specific spatial truncation error terms in the momentum conservation equations. By introducing an improved discrete equilibrium for the D3Q19 stencil, we show that the reported spurious currents in a square channel duct flow are caused by the form of the discrete equilibrium and are not due to the structure and isotropy properties of the D3Q19 velocity set itself. Numerical experiments on a square channel and a more complex nozzle geometry confirm these results.Elsevier2022-11-09T17:19:38Z2022-11-092020-03-15T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/32713https://doi.org/10.1016/j.jcp.2019.109111http://hdl.handle.net/10174/32713https://doi.org/10.1016/j.jcp.2019.109111porBauer M., Silva G., Rude U. Truncation errors of the D3Q19 lattice model for the lattice Boltzmann method. J. Comput. Phys. 405: 109111, 2020.martin.bauer@fau.degnsilva@uevora.ptulrich.ruede@fau.de449Bauer, MartinSilva, GoncaloRüde, Ulrichinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-03T19:33:45Zoai:dspace.uevora.pt:10174/32713Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:21:42.118312Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Truncation errors of the D3Q19 lattice model for the lattice Boltzmann method
title Truncation errors of the D3Q19 lattice model for the lattice Boltzmann method
spellingShingle Truncation errors of the D3Q19 lattice model for the lattice Boltzmann method
Bauer, Martin
lattice Boltzmann method
Numerical analysis
Rotational Invariance
Nozzle Geometry
title_short Truncation errors of the D3Q19 lattice model for the lattice Boltzmann method
title_full Truncation errors of the D3Q19 lattice model for the lattice Boltzmann method
title_fullStr Truncation errors of the D3Q19 lattice model for the lattice Boltzmann method
title_full_unstemmed Truncation errors of the D3Q19 lattice model for the lattice Boltzmann method
title_sort Truncation errors of the D3Q19 lattice model for the lattice Boltzmann method
author Bauer, Martin
author_facet Bauer, Martin
Silva, Goncalo
Rüde, Ulrich
author_role author
author2 Silva, Goncalo
Rüde, Ulrich
author2_role author
author
dc.contributor.author.fl_str_mv Bauer, Martin
Silva, Goncalo
Rüde, Ulrich
dc.subject.por.fl_str_mv lattice Boltzmann method
Numerical analysis
Rotational Invariance
Nozzle Geometry
topic lattice Boltzmann method
Numerical analysis
Rotational Invariance
Nozzle Geometry
description We comment on the truncation error analysis and numerical artifacts of the D3Q19 lattice Boltzmann model reported in Silva et al. [3]. We present corrections for specific spatial truncation error terms in the momentum conservation equations. By introducing an improved discrete equilibrium for the D3Q19 stencil, we show that the reported spurious currents in a square channel duct flow are caused by the form of the discrete equilibrium and are not due to the structure and isotropy properties of the D3Q19 velocity set itself. Numerical experiments on a square channel and a more complex nozzle geometry confirm these results.
publishDate 2020
dc.date.none.fl_str_mv 2020-03-15T00:00:00Z
2022-11-09T17:19:38Z
2022-11-09
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10174/32713
https://doi.org/10.1016/j.jcp.2019.109111
http://hdl.handle.net/10174/32713
https://doi.org/10.1016/j.jcp.2019.109111
url http://hdl.handle.net/10174/32713
https://doi.org/10.1016/j.jcp.2019.109111
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv Bauer M., Silva G., Rude U. Truncation errors of the D3Q19 lattice model for the lattice Boltzmann method. J. Comput. Phys. 405: 109111, 2020.
martin.bauer@fau.de
gnsilva@uevora.pt
ulrich.ruede@fau.de
449
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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